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Finding the Fourth Proportional to 111,705.70, 167,562.60 and 32,827.90

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Solution

The fourth proportional to 111,705.70, 167,562.60 and 32,827.90 is: 49,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,705.70 : 167,562.60 = 32,827.90 : x
  2. Step 2: Convert to fraction form
    111,705.70/167,562.60 = 32,827.90/x
  3. Step 3: Cross multiply
    111,705.70x = 167,562.60 × 32,827.90
  4. Step 4: Simplify right side
    111,705.70x = 5,500,728,276.54
  5. Step 5: Solve for x
    x = 5,500,728,276.54/111,705.70
  6. Step 6: Final answer
    x = 49,243.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.